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Vergini, EAuthorBenito, R MAuthor

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July 17, 2020
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Quantum localization through interference on homoclinic and heteroclinic circuits

Publicated to: NEW JOURNAL OF PHYSICS. 10 (053016): 53016- - 2008-05-13 10(053016), DOI: 10.1088/1367-2630/10/5/053016

Authors:

Sibert, EL; Vergini, E; Benito, RM; Borondo, F
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Affiliations

Univ Autonoma Madrid, Dept Quim C IX - Author
Univ Politecn Madrid, Escuela Tecn Super Ingn Agronomos, Dept Fis - Author

Abstract

Localization effects due to scarring constitute one of the clearest indications of the relevance of interference in the transport of quantum probability density along quantized closed circuits in phase space. The corresponding path can be obvious, such as the scarring periodic orbit (PO) itself which produces time recurrences at multiples of the period. However, there are others more elaborate which only close asymptotically, for example, those associated with homoclinic and heteroclinic orbits. In this paper, we demonstrate that these circuits are also able to produce recurrences but at (semiclassically) longer times, of the order of the Ehrenfest time. The most striking manifestation of this phenomenon is the accumulation of quantum probability density along the corresponding circuits. The discussion is illustrated with an example corresponding to a typical PO of the quartic two-dimensional oscillator.
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Keywords

ChaosClassical s-matrixEigenfunctionsQuantizationScarsWave-functions

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal NEW JOURNAL OF PHYSICS due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2008, it was in position 9/68, thus managing to position itself as a Q1 (Primer Cuartil), in the category Physics, Multidisciplinary.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-10:

  • WoS: 13
  • Scopus: 13
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-10:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 5 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: United States of America.

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